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AP EAMCET · PHYSICS · Thermodynamics

The efficiency of a Carnot engine found to increase from \(25 \%\) to \(40 \%\) on increasing the temperature ( \(\mathrm{T}_1\) ) of source alone through 100 K . The temperature \(\left(\mathrm{T}_2\right)\) of the sink is given by

  1. A 300 K
  2. B 250 K
  3. C 325 K
  4. D 125 K
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Correct Answer

(A) 300 K

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\(\begin{aligned} & \text {} \eta_1=25 \%=0.25 \\ & \therefore \eta_1=1-\frac{T_2}{T_1} \Rightarrow 0.25=1-\frac{T_2}{T_1} \Rightarrow \frac{T_2}{T_1}=0.75 \\ & \therefore T_1=\frac{4 T_2}{3}\end{aligned}\)…
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